Respuesta :

y+3=x+1 is the equation and all the numbers represent ordered pairs to graph. (2,1)(3,4)(4,7)(5,10)

The points will satisfy the standard equation of the linear system. Then the equation will be [tex]\rm y = 3x -5[/tex].

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

   x                 2                    3                        4                     5

   y                  1                    4                        7                     10

let the linear equation y = mx + c.

For (2, 1), the equation will be

[tex]\rm 2m + c = 1[/tex] ...eq.1

For (3, 4), the equation will be

[tex]\rm 3m + c = 4[/tex] ...eq.2

Subtract equations 2 from 1, we have

[tex]\rm 3m + c -2m - c = 4 - 1[/tex]

On simplifying

[tex]\rm m = 3[/tex]

Substitute the value of m in equation 1, then we get

[tex]\rm 2*3+ c = 1[/tex]

On simplifying

[tex]\rm c = -5[/tex]

Thus, the equation will be [tex]\rm y = 3x -5[/tex].

More about the linear system link is given below.

https://brainly.com/question/20379472

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